Pith Number

pith:QZDES4UB

pith:2017:QZDES4UB3P3EGHWCOHMF5FDEMR

not attested not anchored not stored refs pending

Finite distortion Sobolev mappings between manifolds are continuous

Mohammad Reza Pakzad, Pawe{\l} Goldstein, Piotr Haj{\l}asz

arxiv:1705.05773 v1 · 2017-05-16 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZDES4UB3P3EGHWCOHMF5FDEMR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:44:20.211534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8646497281dbf6431ec271d85e9464647a4eca99c5a47d5e734f1ae63da880a4

Aliases

arxiv: 1705.05773 · arxiv_version: 1705.05773v1 · doi: 10.48550/arxiv.1705.05773 · pith_short_12: QZDES4UB3P3E · pith_short_16: QZDES4UB3P3EGHWC · pith_short_8: QZDES4UB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QZDES4UB3P3EGHWCOHMF5FDEMR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8646497281dbf6431ec271d85e9464647a4eca99c5a47d5e734f1ae63da880a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb5ae718e04dcd466a805fa9820f026670b3a4d1e01a827ba41616ccf652aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-16T15:47:36Z",
    "title_canon_sha256": "d10ad08930cdb477506d5fb4e85a5888a9875e3645de9e0add625d2ff0800ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05773",
    "kind": "arxiv",
    "version": 1
  }
}